Question

The correct statement regarding the $3p_y$ orbital is:

• A. Number of maxima when a curve is plotted between $4\pi r^2{R}^2\left(r\right)$ vs $r$ are $2$
• B. Number of spherical nodes are $3$
• C. $XZ$ plane act as nodal plane
• D. Magnetic quantum number must be $-1$

Answer 1

Answer: (A), (C)

$XZ$ plane act as nodal plane

The number of spherical nodes $=n-l-1$ and the number of nodal plane $=l$
For $3p_y$ orbital, the number of spherical nodes $=3-l-1=1$ and the number of nodal plane $=l=1$
So, $XZ$ is only a single nodal plane for $3p_y$.
The magnetic quantum number for $3p_y$ may be $+1,0or-1$.
A single node and hence two maxima are obtained when a curve is plotted between $4\pi r^2{R}^2\left(r\right)$vs $r$.